You are working on a yearbook that will contain small photos of individual people. The pages will be 8 1/2 inches wide and 11 inches long. Each photograph will be 1 1/4 inches wide and 1 3/4 inches long. The photos will be set in rows and columns with no space between the rows or between the columns

To determine the maximum number of photos that can fit on each page, we need to calculate the number of columns and rows.

First, let's calculate the number of columns:
Page width = 8 1/2 inches = 8.5 inches
Photograph width = 1 1/4 inches = 1.25 inches

Number of columns = Page width / Photograph width
Number of columns = 8.5 inches / 1.25 inches
Number of columns = 6.8 columns

Since we cannot have a fraction of a column, we will round down to the nearest whole number. Therefore, we can have a maximum of 6 columns on each page.

Next, let's calculate the number of rows:
Page length = 11 inches
Photograph length = 1 3/4 inches = 1.75 inches

Number of rows = Page length / Photograph length
Number of rows = 11 inches / 1.75 inches
Number of rows = 6.286 rows

Similarly, we need to round down to the nearest whole number. Therefore, we can have a maximum of 6 rows on each page.

Now, let's calculate the maximum number of photos on each page:
Maximum number of photos = Number of columns x Number of rows
Maximum number of photos = 6 columns x 6 rows
Maximum number of photos = 36 photos

Therefore, each page can fit a maximum of 36 small photos.